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MCQMediumJEE Main 2025 · 28 January, Shift 2Applications of Integrals (Area)

Mathematics Question from JEE Main 2025 · 28 January, Shift 2

The area of the region bounded by the curves x(1+y2)=1x(1 + y^2) = 1 and y2=2xy^2 = 2x is:

  • A

    π4−13\frac{\pi}{4} - \frac{1}{3}

  • B

    π2−13\frac{\pi}{2} - \frac{1}{3}

  • C

    12[π2−13]\frac{1}{2}\left[\frac{\pi}{2} - \frac{1}{3}\right]

  • D

    2[π2−13]2\left[\frac{\pi}{2} - \frac{1}{3}\right]

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